Icosidodecahedron
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An Archimedean Solid whose Dual Polyhedron is the Rhombic Triacontahedron. It is one of the two convexQuasiregular Polyhedra and has Schläfli Symbol
. It is also Uniform Polyhedron 
and has Wythoff Symbol 
. Itsfaces are 
. The Vertices of an icosidodecahedron of Edge length 
are 
, 
, 
, 
,
, 
. The 30 Vertices of anOctahedron 5-Compound form an icosidodecahedron (Ball and Coxeter 1987). Faceted versions include the SmallIcosihemidodecahedron and Small Dodecahemidodecahedron.
The faces of the icosidodecahedron consist of 20 triangles and 12 pentagons. Furthermore, its 60 edges are bisected perpendicularlyby those of the reciprocal Rhombic Triacontahedron (Ball and Coxeter 1987).
The Inradius, Midradius, and Circumradius for unit edge length are
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See also Archimedean Solid, Great Icosidodecahedron, Quasiregular Polyhedron, SmallIcosihemidodecahedron, Small Dodecahemidodecahedron
References
Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, p. 137, 1987. Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, p. 73, 1989.
- Adequate Knot
- Adiabatic Invariant
- Adjacency Matrix
- Adjacency Relation
- Adjacent Fraction
- Adjacent Value
- Adjacent Vertices
- Adjoint Curve
- Adjoint Matrix
- Adjoint Operator
- Adjugate Matrix
- Adjunction
- Adleman-Pomerance-Rumely Primality Test
- Adleman-Rumely Primality Test
- Admissible
- Adéle
- Adéle Group
- Affine Complex Plane
- Affine Connection
- Affine Equation
- Affine Geometry
- Affine Group
- Affine Hull
- Affine Plane
- Affine Scheme